forked from EduCraft/curriculum-project-hub
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c73a2c903f
Real-content fixture for the end-to-end pipeline. TH-141 (39 parts: 22 segment, 15 lemma, 2 example) migrated from the prototype's typst `#let parts` manifest to ADR-0008: declarative manifest.toml (project+info+ordered parts+targets) + per-element element.toml (kind + scalars; examples carry `source`). Content .typ files copied byte-identical (no math corruption); per-element main.typ + meta.toml dropped (wiring is now generated). Part order matches source exactly; 5 lemmas have no proof.typ (optional); no cross-file imports / paralearn refs / figs. Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
18 lines
1.1 KiB
Typst
18 lines
1.1 KiB
Typst
由 @GGZ判据 按 $r equiv gamma_(S G) \/ gamma_(L G)$ 切段：
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#figure(
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table(
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columns: (auto, auto, auto),
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align: (left, left, left),
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table.header[*比值范围*][*接触角*][*现象*],
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[$r > 1$], [无解], [完全铺展（superwetting）],
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[$r = 1$], [$theta = 0$], [临界完全浸润],
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[$1\/4 < r < 1$], [$0 < theta < pi\/2$], [部分浸润],
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[$r = 1\/4$], [$theta = pi\/2$], [临界不浸润],
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[$r < 1\/4$], [$theta > pi\/2$], [不浸润、成珠状],
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),
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caption: [浸润全谱]
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) <浸润全谱表>
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把 @γ量级表 与浸润全谱并置就得到日常现象的解释。高能表面如金属、清洁玻璃，$gamma_(S G) tilde.op 1 thin "J/m"^2$，远大于水的 $gamma_(L G) tilde.op 0.072 thin "J/m"^2$，$r >> 1$，水在其上完全铺展。低能表面如石蜡、Teflon，$gamma_(S G) tilde.op 0.02 thin "J/m"^2$ 小于水的 $gamma_(L G)$，$r < 1\/4$，水在其上不浸润、成珠状。"水在玻璃上铺、在荷叶上成珠"这两件日常现象就是 $r$ 取值在 @GGZ判据 中位于 $r >> 1$ 与 $r < 1\/4$ 两端的直接体现。
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